Find the length of each section of the interval [0.1, 0.52] when it is divided into 6 equal sub-intervals.

Q: Please help me w this question, thank you, full solutions.

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Q: Given: An = 8n 8n +1 For both of the following answer blanks, decide whether the given sequence or…

A: Step 1 (a) The series  ∑n=1∞​An​  from n = 1 to ∞: Given: An​=(8n)/(8n+1) Rewrite the general term…

Q: See attached for question, thanks!

A: Step 1: Step 2: Step 3: Step 4:

Q: Problem 3. Use the piecewise defined function f: [1,∞) → R 1 f(x) = { ½ x = [n, n+1). n

A: Step 1: Step 2: Step 3: Step 4:

Q: Find the volume of the wedge-shaped region (Figure 1) contained in the cylinder 2 + y² = 4 and…

A: Solving the volume of the wedge-shaped region bounded by the surface and planes,x2+y2=4z=xz=0 The…

Q: 7 ☐ 1. Find the local linear approximation of y = tan x at x = πT 4 О L(x) = 1.117+2.248 x -ㅠ) 7 4 О…

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Q: Ques: Sasha has a boat that has the speed of 12km/h in still water. At what angle upstream should…

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Q: Evaluate the integral. (Use symbolic notation and fractions where needed. Use C for the arbitrary…

A: Step 1: Given data  ∫e39−37tdt Note :  ∫exdx=ex+C Step 2: Calculation  ∫e39−37tdt−−−−−−−−−−−−−−−(1)…

Q: A person's investment is expected to produce a continuous stream of revenue R of R(t) = 3000…

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Q: Test the series below for convergence using the Root Test. 1 поп The limit of the root test…

A: Let's define f(n) for the series ∑n=1∞​n9n1​ and find the limit for the Root Test. Then, the limit…

Q: dy 3. By hand, sketch the slope field for = xe where x = [-3, 3] and y = [-—3,3]. dx Then sketch a…

A: i have plotted the graph using a tool please give helpful rating. im sorry i dont have pen and…

Q: Express the given quantity as a function f(x) of one variable x. The product of two numbers x and y…

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Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

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Q: I need you to just answer question b.) using the graph.

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: and L Determine the angle that the line with equation = (4, -5), te R, makes with the x-axis and…

A: To determine the angle that the line with equation,r=t(4,−5),where t∈R makes with the x-axis and…

Q: Find the number of trapezoids when the interval [11.3, 13.7] under a graph is uniformly divided into…

A: Given interval: [11.3,13.7] Total length = 13.7−11.3=2.4 length of each sub interval = 0.4 The…

Q: Using the attached theorms, Solve dx/dt =10x-20y , dy/dt=8x-18y

A: solution to the given question is like this;first find eigen values and check they are real distinct…

Q: Find and simplify the derivative of the following function. f(x) = 3x5 (2x²-1) The derivative of…

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Q: Sketch the triangle with vertices at the orgin O, P=(5,4,0), and Q=(2,1,4), and compute its area…

A: Given:                      Origin O: (0,0,0)                     Point P: (5,4,0)…

Q: Evaluate the indefinite integral. In (In (2x)) dx x In (2x) (Express numbers in exact form. Use…

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Q: Fast please..

A: Let's delve into the explanation of each part of the problem:### Part (a) Explanation:####…

Q: 1. A Challenge on Implicit Differentiation dy Assuming that y is function of x, calculate for the…

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Q: Find the limit of the sequence. Hint: Remember that cos n always satisfies -1 ≤ cos n ≤ 1. an = (cos…

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: n=1 8n +2n gn

A: Step 1: State the given summation: ∑n=1∞​9n8n+2n​ Step 2: Expand the summation:…

Q: ☐ ☐ 1. Approximate the following integrals using Simpson's rule. (Round answer to three decimal…

A: Step 1: So, the approximate value of the integral is 0.130 (rounded to three decimal places). Step…

Q: Suppose a person wants to travel D miles at a constant speed of (60+x) mi/hr, where x could be…

A: Step 1:Step 2: Step 3:

Q: (5) Use the limit comparison test and Problem 1 to decide for what values of k and m nk converges.…

A: Step 1: Step 2:

Q: Show that the vectors X1 and form a linearly independent set. = (2 e2t 2e2t X2 = :( 3e4t 4e4t

A: We show that the vectors  X1 and X2 form a linearly independent by demonstrating that the only…

Q: Question 6 Evaluate the following Integrals. (a) |√1-de dr 422 (b) 25 √1+x² dx (c) s sin (1/x) -da…

A: Step 1: Step 2: Step 3: Step 4:

Q: Please solve

A: 1. **Calculate the Standard Error (SE):**  - The standard error measures the variability or…

Q: Find a general solution for y in terms of x that satisfies the first-order linear differential…

A: Step 1: Given, differential equation is: xy′=y−2x,x>0we need to find the general solution and…

Q: LET F(x) = f(x8) AND G(x)=(f(x)) 8 F(a) = 3 F'a = 7 F' (a 8) = 4 a 7 = 11 FIND F' (a) = 7 AND G' (a)…

A: 2.

Q: LET A BE THE AREA OF A CIRCLE W/RADIUS r. - IF dr/dt = 4, FIND "HE WHEN r = 5

A: Let us use the concept of time rates or related rates for this problem. First, recall that the…

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A: The miller indices for hexagonal lattice:Miller indices for any direction; The miller indices is…

Q: Test the series below for convergence using the Ratio Test. ∞ 7n n=1 n! The limit of the ratio test…

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Q: Practice

A: Given values:Forces:F1 = 19 NF2 = 32 N Angle between them:θ = 118o Introduction:We know, resultant…

Q: on Given the system below, -8x+ay = 4 3x + 2y = -1 find: 1. Value of a, if det (A)=-1 | Instructions…

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Q: Find the area of the shadal aren y=e X= In4

A: Steps and explanations are as follows;In case of any doubt, please let me know. Thank you.

Q: A continuous annuity with withdrawal rate N = $1,200/year and interest rate r = 2% is funded by an…

A: A.Annuity formula = P(t) = N/R + Ce^(rt)t is the timeR is the rateN is the withdrawal ratee is…

Q: An observer on the ground sites a plane at an angle of elevation of 42.4°. At the same time, a…

A: Step 1: Let point A be the location of the airplane, point B be the location of the first observer,…

Q: Use the integral test to determine if the series 6x-6 dx 3x²-6x+6 6n - 6 converges or diverges.…

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Q: Calculate the 3x3 determinant: 3 2 -5 -3 4 -3 -6-7 -4

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Q: ☐ ☐ 1. Approximate the following integrals using the trapezoid rule. (Round answer to three decimal…

A: 1).ans:- method  We can follow below steps to find the solution: i). Calculate the width of each…

Q: 3. Consider the piecewise functions f(x) and g(x) defined below. Suppose that the function f(x) is…

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Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

A: Here's the detailed explanation with all the calculations Step 1. Differentiation:We are given the…

Q: Find f'(x) and find the value(s) of x where the tangent line is horizontal. f(x) = X (6x-7)6 f'(x)=…

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Q: Let u == (7,5,-5) and = (−1, −2, 2). Compute the following: u v . . = 2 7(ū. v) = (7) · v = ū. (77)…

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Q: Find two positive numbers such that the sum of twice the first number and three times the second…

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Q: Find a plane through the points (1,-4, 1), (-5,3,-4), (-3,2,6)

A: Step 1:      Step 2: Step 3: Step 4:

Q: Let f'(x)=ex+x and let H(X) be the equation of the tangent line to f(x) at x = a. If H(x) is used to…

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